Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials

DOI10.1016/j.chaos.2016.02.034zbMath1355.37081OpenAlexW2303159812MaRDI QIDQ508221

Xiao-Ping Wang

Publication date: 10 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.02.034

zbMATH Keywords

Hamiltonian systemhomoclinic solutionsymmetric mountain pass theorem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Multiplicity of homoclinic solutions for second order Hamiltonian systems with local conditions at the origin, Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation, General and weak sufficient condition for Hamiltonian systems

Cites Work

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